Water is used as a coolant in the vapor compression cooling system. The fluid temperature in the evaporator is $4\backslash$deg C and in the condenser it is $34\backslash$deg C$.$ The compressor efficiency is $76\%$ and the cooling rate is $1200$ kJ$/$s$.$ Determine the speed of the fluid in the cycle, the heat transfer rate in the condenser, the required power, the COP value of the cycle, and the COP value of the Carnot cooler operating in the same temperature range.